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Q. No.The total current supplied to the circuit as shown in the figure by the \(5~\text{V}\) battery is:
1. \(4~\text{A}\)
2. \(1~\text{A}\)
3. \(2~\text{A}\)
4. \(3~\text{A}\)
Subtopic: Combination of Resistors |
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Level 2: 60%+
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Two cells of the same emf but different internal resistances \(r_1\) and \(r_2\) are connected in series with a resistance \(R\). The value of resistance \(R\), for which the potential difference across the second cell is zero, is:
1. \(r_2-r_1\)
2. \(r_1-r_2\)
3. \(r_1\)
4. \(r_2\)
1. \(r_2-r_1\)
2. \(r_1-r_2\)
3. \(r_1\)
4. \(r_2\)
Subtopic: Grouping of Cells |
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The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be:
1. \(400\)
2. \(200\)
3. \(100\)
4. \(300\)
1. \(400\)
2. \(200\)
3. \(100\)
4. \(300\)
Subtopic: Derivation of Ohm's Law |
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An aluminium wire is stretched to make its length, \(0.4\%\) larger. Then, the percentage change in resistance is:
1. \(0.4\%\)
2. \(0.2\%\)
3. \(0.8\%\)
4. \(0.6\%\)
1. \(0.4\%\)
2. \(0.2\%\)
3. \(0.8\%\)
4. \(0.6\%\)
Subtopic: Derivation of Ohm's Law |
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The equivalent resistance between points \(A\) and \(B\) in the given network is:
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
1. \(65~\Omega\)
2. \(20~\Omega\)
3. \(5~\Omega\)
4. \(2~\Omega\)
Subtopic: Combination of Resistors |
81%
Level 1: 80%+
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A cell, shunted by a \(8 \Omega\) resistance, is balanced across a potentiometer wire of length 3 m. The balancing length is 2 m when the cell is shunted by \(4 \Omega\) resistance. The value of the internal resistance of the cell will be:
1. 4 \( \Omega\)
2. 6 \( \Omega\)
3. 8 \( \Omega\)
4. 2 \( \Omega\)
1. 4 \( \Omega\)
2. 6 \( \Omega\)
3. 8 \( \Omega\)
4. 2 \( \Omega\)
Level 4: Below 35%
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A cylindrical wire of radius \(4~\text{mm} \) carries a uniform current density of \(4 \times 10^6~ \text{Am}^{-2}.\) What is the current flowing through the outer portion of the wire between radial distances \(\dfrac{R}{2}\) and \(R \text{?}\)
| 1. | \(16\pi~\text{A}\) | 2. | \(64\pi~\text{A}\) |
| 3. | \(32\pi~\text{A}\) | 4. | \(48\pi~\text{A}\) |
Subtopic: Current & Current Density |
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Level 2: 60%+
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The current density in a cylindrical wire of radius \(r= 4.0~\text{mm}\) is \(1.0 \times 10^6 ~\text{A/m}^2\). The current through the outer portion of the wire between radial distances \(\frac{r}{2}\) and \(r\) is \(x\pi~ \text{A}\), where \(x\) is:
1. \(10\)
2. \(14\)
3. \(16\)
4. \(12\)
1. \(10\)
2. \(14\)
3. \(16\)
4. \(12\)
Subtopic: Current & Current Density |
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In the given circuit, \(a\) is an arbitrary constant. The value of \(m\) for which the equivalent circuit resistance is minimum will be \(\sqrt{\frac{x}{2}}.\) The value of \(x \) is:
1. \(6\)
2. \(9\)
3. \(3\)
4. \(12\)
1. \(6\)
2. \(9\)
3. \(3\)
4. \(12\)
Subtopic: Combination of Resistors |
68%
Level 2: 60%+
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A meter bridge setup is shown in the figure. It is used to determine an unknown resistance \(R\) using a given resistor of \(15~\Omega.\) The galvanometer \((G)\) shows a null deflection when the tapping key is at \(43~\text{cm}\) mark from end \(A\). If the end correction for end \(A\) is \(2~\text{cm}\), then the determined value of \(R\) will be:
1. \(19~\Omega\)
2. \( 22~\Omega\)
3. \(25~\Omega\)
4. \( 28~\Omega\)
1. \(19~\Omega\)
2. \( 22~\Omega\)
3. \(25~\Omega\)
4. \( 28~\Omega\)
Subtopic: Meter Bridge |
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Level 2: 60%+
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